LCM of 259, 478, 770, 385
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023
Find the LCM of 259, 478, 770, 385 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 259, 478, 770, 385. So, keep reading to learn more.
Given numbers are 259,478,770,385
The least common multiple of numbers can be find using the prime factorization method or LCM formula.
The LCM of 259,478,770,385 is 6809110.
Find LCM of 259,478,770,385 with Prime Factorization
| 2 | 259, 478, 770, 385 |
| 5 | 259, 239, 385, 385 |
| 7 | 259, 239, 77, 77 |
| 11 | 37, 239, 11, 11 |
| 37, 239, 1, 1 |
Multiply the prime numbers at the bottom and the left side.
2 x 5 x 7 x 11 x 37 x 239 x 1 x 1 = 6809110
Therefore, the lowest common multiple of 259,478,770,385 is 6809110.
LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
Firstly, we have to find the product of all the numbers.
259 x 478 x 770 x 385 = 36701102900
Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.
259 : 1, 7, 37, 259
478 : 1, 2, 239, 478
770 : 1, 2, 5, 7, 10, 11, 14, 22, 35, 55, 70, 77, 110, 154, 385, 770
385 : 1, 5, 7, 11, 35, 55, 77, 385
1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 259,478,770,385, is 1.
Now, the common factors can be found like this.
259:7x 37
478:2x 239
770:2x 5x 7x 11
385:5x 7x 11
From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.
2x 5x 7x 7x 11 = 5390
Therefore, the value for common factors is 5390.
Now that we have all the elements of the formula, we can plug them in to calculate the LCM.
LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}
LCM = 36701102900/(1x5390)
LCM = 36701102900/5390
LCM = 6809110
Thus, we can understand that the LCM of 259,478,770,385 is 6809110.
LCM of two or more Numbers Calculation Examples
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FAQs on LCM of 259, 478, 770, 385
1. What is the LCM of 259, 478, 770, 385?
Answer: LCM of 259, 478, 770, 385 is 6809110.
2. How to calculate the LCM of 259, 478, 770, 385?
The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 259, 478, 770, 385.
3. What is the LCM formula?
The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.